Research Article
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On Mappings and Topological Structure of Intuitionistic Fuzzy Parameter Soft Sets

Year 2025, Volume: 46 Issue: 4, 870 - 880, 30.12.2025

Bünyamin Elturan , Serkan Atmaca

https://doi.org/10.17776/csj.1666949

Abstract

In this study, some algebraic properties of intuitionistic fuzzy parameter soft (IFPS) which combining the strengths of intuitionistic fuzzy sets and parameterized soft set theory, are given with examples. A topological structure is constructed on IFPS sets, providing a foundation for exploring fundamental topological notions such as open and closed sets, interior, closure and neighbourhood systems within this new context. Additionally, the concept of IFPS function is defined and its algebraic properties are investigated. Finally, mappings between IFPS topological spaces are examined and the notion of IFPS continuity is introduced and its properties are analysed.

Keywords

Intuitionistic Fuzzy Sets Intuitionistic Fuzzy Parametrized Soft Sets Topology

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There are 25 citations in total.

Details

Primary Language English
Subjects Mathematical Logic, Set Theory, Lattices and Universal Algebra, Topology
Journal Section Research Article
Authors

Bünyamin Elturan 0009-0002-6255-0721

Serkan Atmaca 0000-0003-1276-9004

Submission Date May 7, 2025
Acceptance Date October 9, 2025
Publication Date December 30, 2025
Published in Issue Year 2025 Volume: 46 Issue: 4

Cite

APA Elturan, B., & Atmaca, S. (2025). On Mappings and Topological Structure of Intuitionistic Fuzzy Parameter Soft Sets. Cumhuriyet Science Journal, 46(4), 870-880. https://doi.org/10.17776/csj.1666949

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